Bus P runs 15% faster than bus Q. Since both buses have to start from stop M and reach stop N at the same time, bus P gives bus Q a start of 6 kilometres. What is the distance between the two stops?
Answers
Given : Bus P runs 15% faster than bus Q. Since both buses have to start from stop M and reach stop N at the same time, bus P gives bus Q a start of 6 km.
To Find : What is the distance between the two stops
Solution:
Let say Distance between = D km
P gives bus Q a start of 6 km
Distance covered by Q in Time T = D - 6 km
Distance covered by P in Time T = D km
=> D/T = (D - 6)/T (1 + 15/100)
=> D = (D - 6)1.15
=> 0.15D = 6 * 1.15
=> D = 46
Hence distance between the two stops = 46 km
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