Question

it takes ben 2 day to write 5 reports it take kate 3 days to write five at bens rate how much is greater is kate’s

Answer 1

Answer:

rate of Ben writing is 1.5 times greater than that of Kate writing

Step-by-step explanation:

Let the rate of writing of Ben and Kate be  r1 and r2 respectively.

Given:

Time taken by Ben to complete 5 reports is 2 days.

Time taken by Kate to complete 5 reports is 3 days.

2×r1=5

3×r2=5

r1=5÷2

r2=5÷3

(r1÷r2)=(3÷2)

rate of Ben writing is 1.5 times greater than that of Kate writing

Answer 2

Answer with explanation:

Time taken by Ben to write 5 Reports = 2 days

Rate of doing work of Ben $=\frac{5}{2}=2.5\frac{report}{day}$

Time taken by Kate to write 5 Report=3 Days

Rate of doing work of Kate $=\frac{5}{3}\frac{report}{day}$

Ben's Rate of doing work is Higher.

Ben's Rate exceeds by Kate's Rate

  $=\frac{5}{2}-\frac{5}{3}\\\\=\frac{15-10}{6}=\frac{5}{6}$