Multiple choice

Prasad is thrice as good a workman Malviya and therefore able to finish a work in 48 days less than Malviya. Working together, they can do it in प्रसाद एक कारीगर मालवीय से तीन गुना कुशल है और इसलिए एक काम को मालवीय से 48 दिन कम में काम समाप्त कर देता है | एक साथ काम करके, वे इसे कर सकते हैं

  1. 18 days/दिन

  2. 24 days/दिन

  3. 30 days/दिन

  4. 12 days/दिन

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let Malviya alone finish the work in x days. Since Prasad is thrice as good (efficient), Prasad finishes in x/3 days. Given that Prasad takes 48 days less than Malviya: x - x/3 = 48, so 2x/3 = 48, giving x = 72 days. So Malviya takes 72 days alone, and Prasad takes 24 days alone. Working together, their combined rate is 1/72 + 1/24 = 1/72 + 3/72 = 4/72 = 1/18, meaning they finish in 18 days together. The key is setting up the equation correctly based on relative efficiency.