49 pumps can empty a reservoir in 6.5 days, working 8 hours a day. if 196 pumps are used for 5 hours a day, then the same work will be completed in
Answers
Here, we are giving complete question as the provided question is incomplete.
49 pumps can empty a reservoir in 6.5 days, working 8 hours a day. if 196 pumps are used for 5 hours a day, then the same work will be completed in
A. 2 days B. 5/2 days C. 13/5 days D. 3 days
Solution:
Concept: the given question is based on direct and indirect relation.
Here, Pump and required days are in indirect proportions
and No. of hours per day and required days are also in indirect proportions
∵ 49 Pumps can empty a reservoir by working 8 hours per day, in = 6.5 days
∴ 1 Pumps can empty a reservoir by working 1 hours per day, in = 6.5×49×8 days
∴ 196 Pumps can empty a reservoir by working 5 hours per day, in
= 6.5× (49 /196) × (8/5) days
or, = 13/5 days
Hence, the same work will be completed by 196 pumps by working 5 hours per day in (13/5) days.
Hence, option C. 13/5 days is the correct option.
Answer: 2.6 days
Step-by-step explanation:
lets days be 'D'
since work is same amount:
49 x 6.5 x 8 = 196 x 5 x D.
D = 49 x 6.5 x 8
196 x 5