Question

ABCD is a straight line such that AB = BC = CD. A car traveled with a speed of 40 kmph from A to B and with a speed of 60 kmph from B to D. What are the average speeds (in kmph) of the car in the journey? (i) from A to C and (ii) from A to D? 1) 35 2) 36 3) 42 4) 45

Answer 1

The average speed from A to C is 40 kmph and the average speed from A to D is 42 kmph.

Step-by-step explanation:

The average speed of a car can be found by dividing the total distance traveled by the total time taken. In this case, the distance traveled from A to C is twice the distance from A to B. The time taken from A to C is twice the time taken from A to B. Therefore, the average speed from A to C is the same as the average speed from A to B, which is 40 kmph.

The average speed from A to D can be found by dividing the total distance traveled by the total time taken. The distance traveled from A to D is equal to the distance traveled from A to B plus the distance traveled from B to D. The time taken from A to D is equal to the time taken from A to B plus the time taken from B to D. Therefore, the average speed from A to D is (AB + BD) / (AB/40 + BD/60), which simplifies to 42 kmph.

Learn more about Average speed of a car