Question

ram travels 760km to his home partly by train and partly by car. he takes 8hrs if he travel 160km by train and rest by car. he takes 12 min more if he travel 240km by train and rest by car. find the speed of train and car

Answer 1

Let the speed of train be x kmph and car be y kmph
Condition(i):
Given that Ram travelled a distance of 760 km
Distance travelled by train = 160 km
Recall, time taken = distance / speed
Hence time taken to travel by train = 160/x
Distance travelled by car = 600 km
Time taken to travel by car = 600/y
Total time taken = 8 hours




Condition (ii):
Distance travelled by train = 240 m
Time taken to travel by train = 240 / x
Distance travelled by car = 760 - 240 = 520 km
Time taken to travell by car = 520 / y
Total time taken = 8 hrs + 12 minutes
                         = 8 + (12/60)
                         = 8.2 hours




Hence equations (1) and (2) becomes




Put y = 100 in (1), we get




Thus speed of train is 300 kmph and speed of car is 100 kmph.

Answer 2

the correct ans will be
train speed 80kmph
car speed 100kmph