Question
Two cyclists, ‘P’ and ‘Q’, started from
locations ‘L’ and ‘R’ towards each other at the same time. When they met after 4 hours, cyclist ‘Q’ had travelled 44 km more than cyclist ‘P’. Find the distance travelled by cyclist ‘P’ in 3 hours if the total distance between both locations is 244 km.Solution
Let distance travelled by cyclist ‘P’ at the time of meet = ‘x’ km
So, distance travelled by cyclist ‘Q’ at the time of meet = ‘x + 44’ km
According to question:
x + x + 44 = 244
Or, 2x = 200
Or, x = 100
Distance travelled by cyclist ‘P’ in 4 hours = 100 km
Speed of cyclist ‘P’ = 100 / 4 = 25 km/h
Distance travelled by cyclist ‘P’ in 3 hours = 25 × 3 = 75 km
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