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A person travelled 132 km by auto, 852 km by train and 248 km by bike. It took 21 hours in all. If the speed of train is 6 times the speed of auto and 1.5 times speed of bike, what is the speed of train?

78 kmh^-1

104 kmh^-1

96 kmh^-1

88 kmh^-1

Explanation:

Let the speed of auto be x kmph^-1 .
So, the speed of train will be 6x and that of bike will be
= 6x /1.5 = 4x
As per the given information,
Time taken by auto + Time taken by train + Time taken by bike = 21 hours
⇒ 132/x + 852/6x + 248/4x = 21
or, 132/x + 142/x + 62/x = 21
or, 21x = 132 + 142 + 62 = 336
∴ x = 336/21 = 16
∴ Speed of the train = 6x
= 6 × 16 = 96 kmh^-1

By: Amit Kumar

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