Question

Dora can plant 150 flowers in the same time it takes charlie to plant 120 flowers. Also Dora can plant 18 flowers more per day than charlie. How many flowers can Charlie plant per day?

Answer 1

Number of flowers planted planted by Charlie per day = 72

Explanation:

Given:

Dora can plant 150 flowers and Charlie plants 120 flowers in same time.

Dora can plant 18 flowers more per day than that of Charlie.

To find:

Flowers that can be planted by Charlie per day = ?

Solution:

Let the time taken by Dora to plant 150 flowers = T days

So, T will be the time taken by Charlie to plant 120 flowers.

Number of flowers planted by Dora per day = Total Number of flowers planted by Dora divided by number of days

Number of flowers planted by Dora per day =
`(150)/(T)`

Similarly, Number of flowers planted by Charlie per day = Total Number of flowers planted by Charlie divided by number of days

Number of flowers planted by Charlie per day =
`(120)/(T)`

As per condition given:

`(150)/(T) = (120)/(T) +18`

Solving the above equation by taking LCM:

`\Rightarrow (150)/(T) = (120 +18T)/(T)\\\Rightarrow 150=120+18T\\\Rightarrow 18T = 30\\\Rightarrow T = (30)/(18)\\\Rightarrow T = (5)/(3)\ days`

Number of flowers planted by Charlie per day =
`(120)/(T)` =
`(120* 3)/(5) = 72`

So, answer is:

Number of flowers planted planted by Charlie per day = 72