Question

Joy's drone has started delivering the orders to customer's places. The data below shows the number of houses the drone delivered and the time it took for those air deliveries.


Joy has to make deliveries to $21$ homes in the area. If the pattern continues, how much time will the drone take to make deliveries to $21$ homes $?$

• A. $150$ minutes
• B. $180$ minutes
• C. $210$ minutes
• D. None of the above

Answer 1

The correct option is C $210$ minutes

$\text{Given:}$ Joy's drone has started delivering the orders to customer's places. The below data shows the number of houses delivered vs. the delivery time.


First, we find out the pattern in the data, which shows the number of houses covered by Joy's drone for the delivery.


Next, we need to find out how much time (in minutes) Joy's drone take to deliver the orders in $21$ houses.

Given delivery time sequence:


By observing the pattern in the sequence, we get:


Hence, Joy's drone will take $210$ minutes to deliver the orders to $21$ customer's places.

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$\underset{–}{\text{Another Approach:}}$

Given data:

The above data shows:

$\bullet$ Number of houses covered $=3$ and drone's delivery time $=\underset{–}{30=10\times 3}$
$\bullet$ Number of houses covered $=6$ and drone's delivery time $=\underset{–}{60=10\times 6}$
$\bullet$ Number of houses covered $=9$ and drone's delivery time $=\underset{–}{90=10\times 9}$

Hence, we can conclude
$\text{Delivery Time}=10\times \text{Number of houses}$

$\therefore$ The delivery time for $21$ houses $=10\times 21=210$ minutes

Hence, option (c.) is the correct one.