The GATE Grind

GATE 2019 EC – Question 3

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 1 mark · Multiple choice

It would take one machine 4 hours to complete a production order and another machine 2 hours to complete the same order. If both machines work simultaneously at their respective constant rates, the time taken to complete the same order is ________ hours.

  1. 2/3
  2. 3/4
  3. 4/3
  4. 7/3

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (C) 4/3

Explanation

The combined rate is $\frac14+\frac12=\frac34$ order per hour, so the time is $\frac43$ hours.