Multiple choice

Amar is 2 times as good a workman as Badal and, therefore, is able to finish a job in 15 days less than Badal. In how many days can they together complete the job?

  1. 30 days

  2. 40 days

  3. 10 days

  4. 20 days
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Badal take x days, then Amar takes x/2 days. x - x/2 = 15, so x/2 = 15, x = 30. Amar takes 15 days, Badal takes 30 days. Together: 1/15 + 1/30 = 3/30 = 1/10. They take 10 days.

AI explanation

Because Amar is 2 times as good a workman as Badal, Amar takes half the time Badal takes to finish the job. This means Badal's time minus half of Badal's time equals the 15-day difference in their completion times, making Badal's time 30 days and Amar's time 15 days. Using the formula for working together, multiply their times and divide by their sum: 30 multiplied by 15, divided by 45. This simplifies to 10 days.

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