Question

Daniel and Morgan both live 132 miles away from the beach it took Daniel 253 minutes less than two times the time it took Morgan to reach the beach. Morgan drove at 36 mph. How long did it take Daniel to arrive at the beach?

Answer 1

Answer:

It took 187.4 minutes to arrive Daniel at the beach.

Step-by-step explanation:

Given:

Daniel and Morgan both live 132 miles away from the beach it took Daniel 253 minutes less than two times the time it took Morgan to reach the beach.

Morgan drove at 36 mph.

Now, to find the time it take Daniel to arrive at the beach.

Let the time taken by Morgan be $x.$

And the time taken by Daniel is $2x-253.$

Distance = 132 miles.

Speed = 36 mph.

Now, to get the time taken by Morgan by putting the formula:

Distance = Speed × time

$132=36\times x$

Dividing both sides by 36 we get:

$3.67=x\\x=3.67\ hours.$

So, the time taken by morgan = 3.67 hours.

Thus, we convert the time into minutes:

$3.67\times 60\\=220.2\ minutes.$

Now, the time taken by Daniel, we get by substituting the value of $x$:

$2x-253\\=2\times 220.2-253\\=440.4-253\\=187.4\ minutes.$

Therefore, it took 187.4 minutes to arrive Daniel at the beach.