Question

Hunk traveled 550 km at an average speed of 90 km per hour. If Tim completed the same distance with the 1 hour and 30 minutes that Hunk lasted, what was Tim's average speed for the whole journey?

a) 85 km per hour
b) 88 km per hour
c) 91 km per hour
d) 94 km per hour

Answer 1

Tim's average speed for completing a 550 km journey 1 hour and 30 minutes faster than Hunk is approximately 119.31 km/h, which is not one of the provided options.

Step-by-step explanation:

The question is asking us to calculate Tim's average speed for a journey of 550 km if he completes it 1 hour and 30 minutes faster than Hunk, who traveled at an average speed of 90 km/h. To find Tim's average speed, we need to know the time it took him to complete the journey.

Hunk's travel time for the 550 km at 90 km/h:
Time = Distance / Speed = 550 km / 90 km/h = 6.11 hours (approximately)

Tim completes the journey 1 hour and 30 minutes, that is, 1.5 hours faster so:
Tim's travel time = Hunk's time - 1.5 hours
= 6.11 hours - 1.5 hours
= 4.61 hours

Now we calculate Tim's average speed:
Average Speed = Distance / Time = 550 km / 4.61 hours
= 119.31 km/h (approximately)

Therefore, none of the given options (a) 85 km/h, (b) 88 km/h, (c) 91 km/h, or (d) 94 km/h are correct. Tim's average speed is 119.31 km/h.