Question

Nexus, Nellie and Laika together can gift-wrap a toy car in $8$ seconds. To wrap $30,000$ toy cars, they will take.

• A. $60$ hrs $40$ mins
• B. $66$ hrs $40$ mins
• C. $60$ hrs $50$ mins

Answer 1

Answer: (A), (B)

$66$ hrs $40$ mins

Given:
Time taken by Nexus, Nellie and Laika together to gift-wrap a toy car = $8$ seconds

$\therefore$ Time taken by them to gift-wrap $30,000$ toy car $=30,000\times \text{time taken to gift-wrap one toy car}$
$=30,000\times 8=240,000$ seconds

Now as we know,
$1\text{hour}=60\text{minutes}=60\times 60=3,600\text{seconds}$

$\because 3,600\text{seconds}=1\text{hours}$

$\therefore 240,000\text{seconds}=\frac{240,000}{3,600}\text{hours}$

$\Rightarrow \frac{240,000}{3,600}\text{hours}=\frac{2,400}{36}$

$=\frac{12\times 200}{12\times 3}=\frac{200}{3}$


Therefore, Time taken to wrap $30,000$ toy cars by Nexus, Nellie and Laika together = $(66+\frac{2}{3})\text{hrs}$
= $66$ hrs $40$ mins.

As we know, $1$ hr = $60$ minutes $\therefore$ $\frac{2}{3}$ hr = $\frac{2}{3}\times 60=40$ minutes