Question

A car travelled at a speed of 60 km/hr for thrice as long as it travelled at a speed of 40 km/hr. If the total distance it covered was 440 km, for how long did it travel at a speed of 60 km/hr?
hours
Hint 1
If the car travelled for x hours at a speed of 40 km/hr, the duration for which it travelled at a speed of 60 km/hr is 3x hours. Can you now express the distances covered at these two speeds in terms of x?
Hint 2
We know that, distance = speed × time. Using this fact, the distances it covered at speeds of 60 km/hr and 40 km/hr were 60(3x) km and 40x km respectively. Now, to form an equation in x, equate the sum of 60(3x) and 40x to 440.

Answer 1

Answer:

A car travelled at a speed of 60 km/hr for thrice as long as it travelled at a speed of 40 km/hr. If the total distance it covered was 440 km, for how long did it travel at a speed of 60 km/hr?

hours

Hint 1

If the car travelled for x hours at a speed of 40 km/hr, the duration for which it travelled at a speed of 60 km/hr is 3x hours. Can you now express the distances covered at these two speeds in terms of x?

Hint 2

We know that, distance = speed × time. Using this fact, the distances it covered at speeds of 60 km/hr and 40 km/hr were 60(3x) km and 40x km respectively. Now, to form an equation in x, equate the sum of 60(3x) and 40x to 440