Select the correct answerA start walking at 4 km/h and after 4 hours, B starts cycling from the same point as that of A, in the same direction at 10 km/h. After how much distance from the starting point will B catch up with A?Options24.67 km25.67 km23.67 km26.67 km
Question
Select the correct answerA start walking at 4 km/h and after 4 hours, B starts cycling from the same point as that of A, in the same direction at 10 km/h. After how much distance from the starting point will B catch up with A?Options24.67 km25.67 km23.67 km26.67 km
Solution
To solve this problem, we first need to find out how far A has walked before B starts cycling.
A walks at a speed of 4 km/h for 4 hours. So, the distance covered by A = speed * time = 4 km/h * 4 h = 16 km.
Now, B starts cycling at a speed of 10 km/h. The relative speed of B with respect to A = speed of B - speed of A = 10 km/h - 4 km/h = 6 km/h.
We need to find out how long it will take for B to cover the 16 km distance that A has already walked. So, time = distance / speed = 16 km / 6 km/h = 2.67 hours.
In this time, B will have cycled a distance = speed * time = 10 km/h * 2.67 h = 26.67 km.
So, B will catch up with A 26.67 km from the starting point.
Therefore, the correct answer is 26.67 km.
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