Multiple choice

Mandar works 3 times as fast as Samarth. If Samarth can complete a job alone in 28 days, then in how many days can they together finish the job?

  1. 4 days

  2. 5 days

  3. 8 days

  4. 7 days
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Samarth rate = 1/28. Mandar rate = 3 * (1/28) = 3/28. Combined rate = 1/28 + 3/28 = 4/28 = 1/7. Together they take 7 days.

AI explanation

Because Mandar works 3 times as fast as Samarth, Mandar alone would take one-third of Samarth's time, which is 28 divided by 3, or 9.33 days. Applying the Work and Time formula for working together, multiply their individual times and divide by their sum: 28 multiplied by 28/3, divided by the sum of 28 and 28/3. Simplifying the fraction gives a result of 7 days.

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