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Mitul travels at a km/hr when snowing and (a-1) km/hr otherwise. Average speed=6.4 km/hr. Find fraction of distance covered while snowing (a=integer).

1. 7/15
2. 7/16
3. 1/4
4. 3/5

Correct answer: 7/16

Solution

Average speed equation: 1/(d1/a + (1-d1)/(a-1))=6.4 → d1/a+(1-d1)/(a-1)=5/32. Try a=7: (7d1+(1-d1)×7... Let numerator approach: (7-d1)/42=5/32 → 7-d1=5×42/32=6.5625 → d1=0.4375=7/16.

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