Multiple choice

Samarjit works 2 times as fast as Makarand. If Makarand can complete a job alone in 27 days, then in how many days can they together finish the job?

  1. 6 days

  2. 7 days

  3. 5 days

  4. 9 days
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Makarand takes 27 days, so his rate is 1/27. Samarjit is twice as fast, so his rate is 2/27. Together, their rate is 1/27 + 2/27 = 3/27 = 1/9. They will finish the job in 9 days.

AI explanation

Since Samarjit works two times as fast as Makarand and Makarand takes 27 days, Samarjit takes half that time, which is 13.5 days. The total work can be assumed as 27 units, making Makarand's rate 1 unit per day and Samarjit's rate 2 units per day. Their combined rate is 3 units per day, so they will finish the 27 units of work in 27 divided by 3 days, which equals 9 days.

Keep practicing — related questions