Math, asked by dhanashree1909, 4 months ago

1. Two places A and B are 80 km apart from each other. Two cars start from A and B Suppose the speed
of car starting from A is greater than the speed of car starting from B. If they move in the same direction
at the same time, they meet in 8 hours and if they move in opposite direction they meet in 1 hour and
20minutes. Find the speed of the cars.​

Answers

Answered by AhanaAsh
4

Step-by-step explanation:

Let the speed of car starting from A=x km/hr and speed of car starting from B=y km/hr.

The relative speed of A with respect to B when moving in the same direction =x−y km/hr.

The relative speed of A with respect to B when moving in opposite direction =x+y km/hr.

Distance between A and B=80 km.

We know, Time=

Speed

Distance

From the above information, we have,

x−y

80

=8and

x+y

80

=1+

60

20

=

3

4

or,

x−y

80

=8

⇒10=x−y

⇒x−y=10....(i)

Also,

x+y

80

=

3

4

⇒240=4(x+y)

⇒x=60−y....(ii)

Substituting (ii) in (i), we get,

x−y=10

⇒60−y−y=10

⇒60−2y=10

⇒2y=50

⇒y=25

Substituting y=25 in equation (ii), we get,

x=60−y

⇒x=60−25

⇒x=35

Thus, the speed of car starting from A=x=35 km/hr and speed of car starting from B=y=25 km/hr.

Answered by alya12382
3

Answer:

Distance=80km

let speed of Car A=x km/hr

let speed of Car B=y km/hr

Acc to ques

x-y=80/8

x-y=10--------(1)

also

x+y=80 × 60/80 (1 hr 20 min= 1+(20/60)=80/60)

x+y=60------(2)

adding (1) and (2)

x-y+x+y=70

2x=70

x=35

put x=35 in (1)

35-y=10

25=y

SPEED OF CAR A=35 km/hr

SPEED OF CAR B= 25 km/hr

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