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A person travelled 610 km in 9 hours. He travelled the first phase at 40 kmph and the rest at 90 kmph. The distance travelled in the first phase is

A140 km
B150 km
C160 km ✓ Correct
D170 km
Correct answer: (C) 160 km
Explanation

The first phase covered 160 km.

Let the time in the first phase at 40 kmph be t hours.

Then 40t + 90(9 - t) = 610.

40t + 810 - 90t = 610, so -50t = -200.

t = 4 hours, so first-phase distance = 40 x 4 = 160 km.

Thus 160 km was covered in the first phase.

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