Question
Download Solution PDFTwo places Agra and Banglore are 3924 kms from each other. A train leaves from Agra for Banglore at the same time another train leaves Banglore for Agra. The two trains meet at the end of 36 hours. If the train travelling from Agra to Banglore travels 36 kmph faster than the other. Find the speed of the faster train. (In kmph)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Distance between Agra and Bangalore = 3924 km
Time taken to meet = 36 hours
Speed of the train from Agra to Bangalore is 36 kmph faster than the speed of the train from Bangalore to Agra.
Formula used:
Distance = Speed × Time
Total distance covered by both trains = Distance between Agra and Bangalore
Calculations:
Let the speed of the train from Bangalore to Agra be x kmph.
Speed of the train from Agra to Bangalore = x + 36 kmph.
Distance covered by the train from Bangalore to Agra in 36 hours = x × 36.
Distance covered by the train from Agra to Bangalore in 36 hours = (x + 36) × 36.
x × 36 + (x + 36) × 36 = 3924
⇒ 36x + 36x + 36 × 36 = 3924
⇒ 72x + 1296 = 3924
⇒ 72x = 2628
⇒ x = 36.5
Speed of the faster train = x + 36
⇒ Speed of faster train = 36.5 + 36 = 72.5 kmph
∴ The correct answer is option 4.
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