Mathematics: a car traveling at 87 km/h and a bus leave a toll booth at the same time. twenty minutes later the bus is 3 km farther from the toll booth than the car. what is the average speed of the bus

a car traveling at 87 km/h and a bus leave a toll - id877191018, justhereforanswers13

quincyjosiah07

30.01.2022

96 km/h

Step-by-step explanation:

Speed of car = 87 km/h

Time = 20 minutes = $\frac{20}{60} = \frac{1}{3}\ hrs$

Distance traveled by bus = 3 km more than that of traveled by car

To find

Average speed of bus = ?

Solution:

Formula for distance traveled is given as:

$Distance = Speed \times Time$

So, distance traveled by car in 20 minutes = 87 $\times \frac{1}3$ = 29 km

As per given statement, distance traveled by bus = 29 + 3 = 32 km

Time taken = $\frac{1}{3}\ hrs$

Using the formula:

$Speed = \dfrac{Distance}{Time}$

Speed of the bus =

$\frac{32}{\frac{1}3} = \bold{96\ km/h}$

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claytonhopkins

22.12.2022

s = 45w

Step-by-step explanation:

Jeremiah is saving money for a tutoring job.

He saved $135 after 3 weeks.

Therefore, his saving per week = $\frac{\text{Total amount}}{\text{Number of weeks}}$

= $\frac{135}{3}$

= $45

If he works for w weeks then at the same rate total amount saved by him will be

= $45w

If this amount is equal to $s then equation that represents the total saving after w weeks will be

s = 45w

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