Two places a and b are 120 km apart

Asked by admin @ in Math viewed by 359 People

two places a and b are 120 km apart from each other on highway. a car starts from a and another from b at the same time.if they move in same direction,they meet in 6 hours,and if they move in opposite direction,they meet in 1 hour 12 min. .find the speed of each car

Answered by admin @


Let,

speed of car at "a" be x kmph 

speed of car at "b" be y kmph

dis covered by car at "a" in 6 hours = 6x
dis covered by car at "b" in 6 hours = 6y

Since they are travelling in same direction, sign shouble be negative
6x - 6y = 120
x - y = 20 ------------ (1)

1hr 12 min = 1 12/60 = 72/60 = 6/5 hr

Since they are travelling in opposite directions, sign should be positive.
(6/5)x + (6/5)y = 120
6x + 6y = 120×5
6x + 6y = 20×5
x + y = 100 ------------ (2)

Adding (1) and (2)
we get 2x = 120 
x = 60

Putting x = 60 in (2) 
we get y = 40 

Therefore,speeds cars are 60 km/h & 40 km/h.

Similar Questions

Places a and b are 80 km apart

Asked by admin @ in Math viewed by 278 persons

places A and B are 80km apart from each other on a high way . A car starts from A and another car starts from B at the same , …

Places a and b are 100 km apart

Asked by admin @ in Math viewed by 268 persons

Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the …

A and b are two points 150 km apart

Asked by admin @ in Math viewed by 319 persons

A and B are two points 150 km apart on a highwaytwo cars start with different speeds from A and B at the same time. if they move in the …

A and b are two stations 390 km apart

Asked by admin @ in Math viewed by 281 persons

A and b are two stations 390 km apart. A train starts from a at 10 a.M. And travels towards b at 65 kmph. Another train starts from b at …

Two charges 4q and q are placed 30cm apart

Asked by admin @ in Physics viewed by 350 persons

two point charges +4q and +q are placed 30cm apart.At what point on the line joining them the electric field is zero?

There are two loops a and b placed coaxially

Asked by admin @ in Physics viewed by 429 persons

There are two loops A and B placed coaxially along vertical line . A is allowed to fall freely towards B. If constant current is flowing in A then find …

Two charges q1 and q2 are placed 30cm apart

Asked by admin @ in Physics viewed by 280 persons

Two charges q1 and q2 are placed 30cm apart. A third charge q3 is moved along the arc of a circle of radius 40cm frm C to D. The change …

Two identical short bar magnets are placed at 120

Asked by admin @ in Physics viewed by 365 persons

Two identical short bar magnets are placed at 120° as shown in the figure. The magnetic moment of each magnet is M. Then the magnetic field at the point P …

Calculate the side lengths a and b to two decimal places

Asked by maham237 @ in Mathematics viewed by 319 persons

Two identical conductors of copper and aluminium are placed

Asked by admin @ in Chemistry viewed by 277 persons

Two identical conductors of copper and aluminium

When combining two independent clauses a comma must be placed

Asked by admin @ in English viewed by 330 persons

When combining two independent clauses, a comma must be placed __________.

120 miles to km

Asked by maham237 @ in Mathematics viewed by 312 persons

what is the distance between two towns is 120 km. There are approximately 8 km in 5 miles which measurement is closest to the number of miles between these two …

Two wires a and b of same material

Asked by admin @ in Physics viewed by 318 persons

Two wires A and B are of the same material. Their lengths are in the ratio of 1 : 2 and the diameter are in the ratio 2 : 1. …

A wall has two layers a and b

Asked by admin @ in Physics viewed by 341 persons

A wall has two layers A and B of equal areas. Their thicknesses are 10 cm and 20cm.Conductivity of A is twice that of B. Underthermal equilibrium, if …

A motorist travel to a place 150 km away

Asked by admin @ in Math viewed by 274 persons

A motorist travels to a place 150km away at an average speed of 50km per hour and returns at 30km per hour. His average speed for whole journey in km …

Most viewed questions in Math

What is the value of x in the expression

Asked by admin @ in Math viewed by 15139 persons

Shubham is facing south and moves 30 km

Asked by admin @ in Math viewed by 12983 persons

Prachi excellence in mathematics class 7 solutions pdf free download

Asked by admin @ in Math viewed by 12031 persons

Oxford new enjoying mathematics class 7 solutions chapter 1

Asked by admin @ in Math viewed by 11515 persons

Survey of various types of bank accounts icse project

Asked by admin @ in Math viewed by 11504 persons

The town of p is located at point x

Asked by admin @ in Math viewed by 11357 persons

A clock gains 4 minutes after every 4 minutes

Asked by admin @ in Math viewed by 10164 persons

Running a tuck shop or canteen maths project pdf

Asked by admin @ in Math viewed by 9377 persons

Paul is sixteenth from the front of the row

Asked by admin @ in Math viewed by 9347 persons

The average weight of 20 teachers is 80 kg

Asked by admin @ in Math viewed by 7520 persons

The number 567 xy is completely divisible by 30

Asked by admin @ in Math viewed by 7395 persons

In a row of friends tiya occupies fifteenth place

Asked by admin @ in Math viewed by 7202 persons

What would $ mean if fat is coded as

Asked by admin @ in Math viewed by 5274 persons

Consider a 3 digit integer x with distinct digits

Asked by admin @ in Math viewed by 4801 persons

Rahul went to his mother's mother in law

Asked by admin @ in Math viewed by 4175 persons