Neco Model Questions Vol1 2025 Mathematics Question 10

Practice essay / theory question 10 from the 2025 Neco Model Questions Vol1 Mathematics examination. This question covers Variation, Direct and Inverse Variation, Relative Motion .

Neco Model Questions Vol1 2025 Mathematics Essay / Theory
Topics: Variation Direct and Inverse Variation Relative Motion
Question 10 NECO_MODEL_QUESTIONS_VOL1 • 2025 • MATHEMATICS • essay

A boat travels on a river where the speed of the current is c km/h and the speed of the boat in still water is v km/h. When moving upstream, the time T taken is directly proportional to the distance d travelled and inversely proportional to the effective speed (v – c). When moving downstream, T is directly proportional to d and inversely proportional to (v + c).

Question Parts

( a )
State the variation equations for (i) upstream travel and (ii) downstream travel, and derive the explicit expressions for the time taken in each case.
( b )
Given that the boat travels 150 km upstream against a current of 2 km/h in 10 h, calculate the speed of the boat in still water (v).
( c )
If the current speed doubles to 4 km/h, find the time required for the boat to travel 210 km downstream.
( d )
Explain qualitatively how the change in current speed affects the travel time for upstream and downstream journeys.

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About This Question

This is Neco Model Questions Vol1 2025 Mathematics Question 10. It is one of the essay questions from the 2025 Neco Model Questions Vol1 Mathematics examination.

The question covers Variation, Direct and Inverse Variation, Relative Motion .

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