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If a train ran 6 km/h faster it would take 4 hours less for a journey; if it ran 6 km/h slower it would take 6 hours more. How long is the journey?

Competition practiceProblems on Trains

A600 km
B540 km
C900 km
D720 km

Step-by-Step Solution

\frac{6 D}{v ( v + 6 )} = 4

and

\frac{6 D}{v ( v - 6 )} = 6

. Dividing:

\frac{v - 6}{v + 6} = \frac{4}{6}

→

v = 30

km/h. Then

D = \frac{4 \times 30 \times 36}{6} = 720

km. Check: 24 h vs 20 h vs 30 h.

Answer: D) 720 km

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