Question

gine flew form toronto to chicago and back agin. the averafe spee dof the plan was 332km/hr to chicago and 415 km/hr back to toronto if the acutal flying time for the round tirp was 4.5 h how was is it from toronto to chicago?

Answer 1

Let the one-way distance be d km. Time going = d/332, time returning = d/415, and

d/332 + d/415 = 4.5.

So d(1/332 + 1/415) = 4.5 → d = 4.5 / (1/332 + 1/415).

Compute: 1/332 + 1/415 = 747/137780, so d = 4.5·137780/747 = 830 km.

(Check: 830/332 = 2.5 h and 830/415 = 2.0 h, total 4.5 h.)