Speed-Time Problem: Calculate Total Distance with Speeds 70 km/h and 85 km/h

Question

A car travels from point A to point B in a straight line.

At first, it moves at a speed of 70 km/h for half an hour.

Then, its speed is 85 km/h for 15 minutes.

What is the distance between points A and B?

Video Solution

Step-by-Step Solution

To answer such questions, we need to know the rule for distance calculations:

Time * Speed = Distance

Using this formula, we can find the distance between the two points.

Let's first look at the first part, we know we traveled for half an hour at a speed of 70 km/h,

so we can substitute:

70*0.5=

and we'll find that the answer is 35

Let's continue to the second part of the route,

traveling for a quarter of an hour (need to remember that a quarter hour is 15/60) at a speed of 85 km/h, let's substitute:

15/60*85=

and we'll find that the answer is 21.25

Now all that's left for us is to combine the two routes - 21.25+35=56.25

Answer

56.25 56.25 km