Question
From a total of 280 km, Sumit covered some distance by
train at 70 km/h and the rest by bus at 35 km/h. If the entire trip took 5.8 hours, how much distance did he travel by train?Solution
ATQ,
Let the distance by train be d km.
Then, distance by bus = 280 - d km
Time equation: d / 70 + (280 - d) / 35 = 5.8
LCM of 70 and 35 = 70
So, d/70 + 2(280 - d)/70 = 5.8
Or, (d + 560 - 2d) / 70 = 5.8
Or, (560 - d)/70 = 5.8
Multiply both sides:
560 - d = 406
d = 154
Distance by train = 154 km
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