Raj travels for 14 hours 40 minutes. He covers half of the journey by train at the rate of 60 kmph and the rest by road at the rate of 50 kmph. What is the distance travelled by him?
A
720 km
B
800 km
C
960 km
D
1000 km
Correct Option:
B
Explanation
Total time = 14 hours 40 minutes = 44/3 hours.
Let the total distance be D km. Half the distance is D/2.
Time by train = D/120 hours.
Time by road = D/100 hours.
Therefore,
D/120 + D/100 = 44/3
11D/600 = 44/3
D = (44 × 600)/(3 × 11) = 800 km.
