## What are we learning ?

**Competency in Focus:** Time and Distance calculation

This problem from American Mathematics Contest 8 (AMC 8, 2018) is based on calculation of time and distance. It is Question no. 6 of the AMC 8 2018 Problem series.## First look at the knowledge graph:-

## Next understand the problem

On a trip to the beach, Anh traveled 50 miles on the highway and 10 miles on a coastal access road. He drove three times as fast on the highway as on the coastal road. If Anh spent 30 minutes driving on the coastal road, how many minutes did his entire trip take? $\textbf{(A) }50\qquad\textbf{(B) }70\qquad\textbf{(C) }80\qquad\textbf{(D) }90\qquad \textbf{(E) }100$

##### Source of the problem

### American Mathematical Contest 2018, AMC 8 Problem 6

##### Key Competency

### Basic Time and Distance problem with an easy interpretation from AMC 8 – 2018 – Problem 6

##### Difficulty Level

5/10

##### Suggested Book

Challenges and Thrills in Pre College Mathematics Excursion Of Mathematics

## Start with hints

Do you really need a hint? Try it first!

Speed = \(\frac {distance}{time}\) This can be the first hint for this sum. It is one of the important formula in science. Try to use it in this sum……..

So if we use the previous hint the speed would be r = \(\frac {d}{t}\) so , r = \(\frac {10}{0.5}\) r = 20 mph.

His speed on the highway then is $60$ mph. He drives $50$ miles, so he drives for $\frac{5}{6}$ hours, which is equal to $50$ minutes. Note : 60 miles\hour is equal to 1 mile\minute

I think you already got the answer but if not here is the last hint. The total amount of minutes spent on his trip is =80 minutes

## AMC - AIME Program

AMC - AIME - USAMO Boot Camp for brilliant students. Use our exclusive one-on-one plus group class system to prepare for Math Olympiad

Google