Teena does half of a task in 6 days. Later, with Shyam’s help, she completes the remaining work in 4 days. Shyam alone can finish the entire work in:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 24 days.
Teena’s rate = (1/2) ÷ 6 = 1/12 work per day
Combined rate = (1/2) ÷ 4 = 1/8 work per day
Shyam’s rate = 1/8 − 1/12 = (3 − 2) ÷ 24 = 1/24 work per day
Time for Shyam alone = 1 ÷ (1/24) = 24 days