Distance between two places A and B is 210 km. Two cars start simultaneously from A and B in opposite direction and distance between them after 3 hours is 54 km. If speed of one car is less than that of other by 8 km/hr, find the speed of each.

Solution:

Distance between two places A and B is 210 km.

Two cars start simultaneously from A and B in opposite directions.

The distance between them after 3 hours is 54 km

The speed of one car is less than that of other by 8 km/hr

We have to find the speed of each car.

Let the speed of car A be x km/hr

Speed of car B = (x + 8) km/hr

We know, speed = distance/time

According to the question,

Distance travelled by car A in 3 hours = 3x km/hr

Distance travelled by car B in 3 hours = 3(x + 8) km/hr

Total distance between A and B - distance travelled by both cars in 3 hours = 54 km

210 - [3x + 3(x + 8)] = 54

210 - 3x - 3x - 8 = 54

202 - 6x = 54

By transposing,

6x = 208 - 54

6x = 132

x = 132/6

x = 22

Now, x + 8 = 22 + 8 = 30

Therefore, the speed of cars A and B are 22 km/hr and 30 km/hr.

✦ Try This: Distance between two places A and B is 300 km. Two cars start simultaneously from A and B in opposite direction and distance between them after 2 hours is 40 km. If speed of one car is less than that of other by 5 km/hr, find the speed of each.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2

NCERT Exemplar Class 8 Maths Chapter 4 Problem 108

Distance between two places A and B is 210 km. Two cars start simultaneously from A and B in opposite direction and distance between them after 3 hours is 54 km. If speed of one car is less than that of other by 8 km/hr, find the speed of each

Summary:

Distance between two places A and B is 210 km. Two cars start simultaneously from A and B in opposite direction and distance between them after 3 hours is 54 km. If speed of one car is less than that of other by 8 km/hr, the speed of cars A and B are 22 km/hr and 30 km/hr.

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