Donna travels 70 miles at an average speed of 40 mph. she then travels a further 30 miles. the average speed for the entire journey is 44 mph. assuming donna didn't stop, what was her average speed for the final 30 miles to 2 dp?

Respuesta :

If donna didn't stop, her average speed for the final 30 miles to 2 dp is; 57.39 mph

How to Calculate Average Speed?

We are given;

Distance travelled by Donna = 70 miles

Average Speed of Donna = 40 mph

Additional Distance travelled = 30 miles

Average speed for entire journey = 44 mph

We know that;

time = distance/speed

Thus

Total time = (70 + 30)/44

Total time = 100/44 h

Time 1 = 70/40 = 7/4 hr

Time 2 = 30/v

Thus;

30/v + 7/4 = 100/44

Multiply through by 44 to get;

1320/v = 100 - 77

v = 1320/23

v = 57.39 mph

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