Rahim covers a certain distance in 14 hrs 40 min. He covers

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Rahim covers a certain distance in 14 hrs 40 min. He covers one half of the distance by train at 60 km/hr. and rest half by road at 50 km/hr. The distance travelled by him is ?

1. 960 km.
2. 720 km.
3. 1000 km.
4. 800 km.

Correct Option: D

Let the total distance be y km.
Then, (y/2) x (1/60) + (y/2) x (1/50) = 44/3
⇒ y/120 + y/100 = 44/3
⇒ 5y + 6y = 8800
⇒ y = 800
∴ Required distance = 800km.