Question

7. Yaro drove from town Gaja to Banga. After 2 hours in the journey, he observed that he had covered 80 km and realized that if he continued at the same average speed, he would end up being late for 15 minutes. If he increased the average speed by 10 km/h, he would arrive at Banga 36 minutes earlier. Find the distance between Gaja and Banga.

Accepted Answer

Initial speed = 80/2 = 40 km/h
Scheduled time = (x/40 − 15/60) hr
Remaining distance = (x − 80) km at 50 km/h
Scheduled time = 2 + (x−80)/50
With 36 min saved: x/40 − 15/60 = 2 + (x−80)/50 − 36/60
Solving: 5(x−10) = 4(x+50)
5x − 50 = 4x + 200
x = 250 km

WAEC Mathematics 2025 Theory — Question 7

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