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#### Speed, Time and Distance

1. A man starts from a place P and reaches the place Q in 7 hours.
 He travels 1 th of the distance at 10 km/hour 4
and the remaining distance at 12 km/hour. The distance between P and Q is
1. 72 km
2. 90 km
3. 80 km
4. 70 km
##### Correct Option: C

 Time = Distance Speed

According to the question,
 x + 3x = 7 10 12

 ⇒ x + x = 7 10 4

 ⇒ 2x + 5x = 7 20

⇒  7x = 7 × 20
 ∴  x = 7 × 20 = 20 km. 7

∴  PQ = 4x = 4 × 20 = 80 km.