It takes 3 hours a vehicle with the uniform speed 40 𝑘𝑚ℎ−1 to cover a certain distance. If the samejourney is travelled at a uniform speed of 20 𝑘𝑚ℎ−1, how many times the times taken to travel at aspeed of 40 𝑘𝑚ℎ−1 will be?
Question
It takes 3 hours a vehicle with the uniform speed 40 𝑘𝑚ℎ−1 to cover a certain distance. If the samejourney is travelled at a uniform speed of 20 𝑘𝑚ℎ−1, how many times the times taken to travel at aspeed of 40 𝑘𝑚ℎ−1 will be?
Solution
Step 1: First, we need to find out the total distance covered by the vehicle. We know that distance = speed x time. So, in this case, the distance covered by the vehicle when it was moving at a speed of 40 km/h for 3 hours is 40 km/h x 3 hours = 120 km.
Step 2: Now, we need to find out how long it would take for the vehicle to cover the same distance at a speed of 20 km/h. We can use the formula time = distance / speed. So, the time taken at a speed of 20 km/h is 120 km / 20 km/h = 6 hours.
Step 3: Finally, we need to find out how many times the time taken to travel at a speed of 40 km/h will be when the vehicle is moving at a speed of 20 km/h. We can do this by dividing the time taken at 20 km/h by the time taken at 40 km/h. So, 6 hours / 3 hours = 2 times.
So, if the same journey is travelled at a uniform speed of 20 km/h, it will take twice as long as it would at a speed of 40 km/h.
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