Umesh and Rajkumar together can do a piece of work in 15/2days. If Umesh alone can
do the same work in 20 days, how long will Rajkumar take to do it alone?
Answers
Gɪᴠᴇɴ :-
- Umesh and Rajkumar together can do a piece of work in 15/2days.
- Umesh alone can do the same work in 20 days.
Tᴏ Fɪɴᴅ :-
- How long will Rajkumar take to do it alone ?
Sᴏʟᴜᴛɪᴏɴ :-
→ (Umesh + Rajkumar) can do a piece of work in = 15/2 days.
→ Per Day work of (Umesh + Rajkumar) = (2/15) units.
Similarly,
→ Umesh alone can do the same work in = 20 days.
→ Per day work of Umesh = (1/20) units .
Therefore,
→ Per day work of Rajkumar = (2/15) - (1/20) = (8 - 3)/60 = (5/60) = (1/12) units.
Hence,
→ Rajkumar alone can do the same work in = 12 Days (Ans.)
✅
Umesh and Rajkumar together can do a piece of work in 15/2days. If Umesh alone can
do the same work in 20 days, how long will Rajkumar take to do it alone?
✅
Umesh and Rajkumar together can do a piece of work in 15/2days.
Umesh alone can do the same work in 20 days.
How long will Rajkumar take to do it alone ?
✔Umesh and Rajkumar can do a piece of work in = 15/2 days.
✔Work done in one day = (2/15) units.
Now,
✔Umesh alone can do the same work in = 20 days.
✔Work done by Umesh in one day = (1/20) units .
so,
✔Work done by Rajkumar in one day = (2/15) - (1/20) = (8 - 3)/60 = (5/60) = (1/12) units.
So,
⭐Rajkumar alone can do the same work in = 12 Days
➡️Hope it helps you :)
#Regards❤