A traveller must go from point A to D. Two possible routes are available:

Route 1: A-B (road, 40 km, speed limit 80 km h⁻¹, toll ₦500) → B-C (rail, 60 km, train speed 120 km h⁻¹, ticket ₦800, waiting time at B = 15 min) → C-D (road, 30 km, speed limit 60 km h⁻¹, no toll).

Route 2: A-E (road, 70 km, speed limit 70 km h⁻¹, toll ₦300) → E-D (road, 50 km, speed limit 100 km h⁻¹, toll ₦400).

Determine which route gives the shorter total travel time and which route has the lower total monetary cost.

Question

A traveller must go from point A to D. Two possible routes are available:

Route 1: A-B (road, 40 km, speed limit 80 km h⁻¹, toll ₦500) → B-C (rail, 60 km, train speed 120 km h⁻¹, ticket ₦800, waiting time at B = 15 min) → C-D (road, 30 km, speed limit 60 km h⁻¹, no toll).

Route 2: A-E (road, 70 km, speed limit 70 km h⁻¹, toll ₦300) → E-D (road, 50 km, speed limit 100 km h⁻¹, toll ₦400).

Determine which route gives the shorter total travel time and which route has the lower total monetary cost.

Accepted Answer

Route 2 is both faster (90 min) and cheaper (₦700).

Waec Model Questions Vol1 2022 Geography Question 29

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