Bob the archaeologist is in the desert, 10 km from a long, straight road and 45 km from base camp. The base camp is also 10 km from the road, on the same side of the road as Bob is. On the road, his car can do 50 kph, but in the desert sands, it can manage only 30 kph. Bob wants to get back to base camp as soon as possible. How long will the trip take?

If anyone of you kind Brainly users could aid me in explaining this question and helping me solve, I would really appreciate it!

Also I am not sure why it says middle school, I am a highschool student.

Thanks in advance!

Question

14-03-2018
Mathematics

contestada

Bob the archaeologist is in the desert, 10 km from a long, straight road and 45 km from base camp. The base camp is also 10 km from the road, on the same side of the road as Bob is. On the road, his car can do 50 kph, but in the desert sands, it can manage only 30 kph. Bob wants to get back to base camp as soon as possible. How long will the trip take?

If anyone of you kind Brainly users could aid me in explaining this question and helping me solve, I would really appreciate it!

Also I am not sure why it says middle school, I am a highschool student.

Thanks in advance!

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MrEquation MrEquation · Answer 1 · 2018-03-24T13:08:31+01:00

Answer: Bob can make it to base camp in about 1.6 hours.

If I am understanding the problem correct, Bob must drive 10 km to get to the road through the desert. Then, 45 km on the road. And finally, another 10 km off the road to get to the base camp.

We end to find the time for each section of the trip.

Start with the formula: d = rt or t = d/r

Now, we can divide to determine the amount of time for each section.

1) 10 / 30 = 0.333 hours
2) 45/50 = 0.9 hours
3) 10/30 = 0.333 hours

Add up all the times, and you get about 1.6 hours.