JAMB Mathematics 1983 Question 50

Question 50

Linear and Simultaneous Equations

A man drove for 4 hours at a certain speed, he then doubled his speed and drove for another 3 hours. Altogether he covered 600 kilometres. At what speed did he drive for the last 3 hours?

  1. A.120km/hr
  2. B.60km/hr
  3. C.600/7km/hr
  4. D.50km/hr
  5. E.100km/hr.
Show the answer and explanation

Answer: A (120km/hr)

Explanation

With first speed v: 4v + 3(2v) = 10v = 600, so v = 60km/hr. The last 3 hours were at 2v = 120km/hr.