Adistance of 150 km was covered by a motorcyclist traveling at an average speed of 75 km/h, by a bus at 60 km/h, a truck at 50 km/h, and a bicyclist at 20 km/h. how much time did each require to travel the entire distance? explain why speed and the time needed to travel 150 km are inversely proportional quantities?
i need to know how to explain the last sentence.

Part 1) It took the motorcyclist 2 hours to cover the entire distance.

Part 2) It took the bus 2.5 hours to cover the entire distance.

Part 3) It took the truck 3 hours to cover the entire distance.

Part 4) It took the bicyclist 7.5 hours to cover the entire distance.

Part 5) The explanation in the procedure

Step-by-step explanation:

we know that

The speed is the ratio between the distance and the time

Let

s -----> speed in km/h

d ----> distance in km

t ----> the time in hours

so

Part 1) A distance of 150 km was covered by a motorcyclist traveling at an average speed of 75 km/h

How much time did each require to travel the entire distance?

we have

substitute in the formula and solve for t

therefore

It took the motorcyclist 2 hours to cover the entire distance.

Part 2) A distance of 150 km was covered by a bus traveling at an average speed of 60 km/h

How much time did each require to travel the entire distance?

we have

substitute in the formula and solve for t

therefore

It took the bus 2.5 hours to cover the entire distance.

Part 3) A distance of 150 km was covered by a truck traveling at an average speed of 50 km/h

How much time did each require to travel the entire distance?

we have

substitute in the formula and solve for t

therefore

It took the truck 3 hours to cover the entire distance.

Part 4) A distance of 150 km was covered by a bicyclist traveling at an average speed of 20 km/h

How much time did each require to travel the entire distance?

we have

substitute in the formula and solve for t

therefore

It took the bicyclist 7.5 hours to cover the entire distance.

Part 5) Explain why speed and the time needed to travel 150 km are inversely proportional quantities?

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form or

In this problem

the constant k will be the distance d

the variable y will be the speed s

the variable x will be the time t

so

speed and time are inversely proportional quantities because

when speed increases -------> the time decreases

when speed decreases -------> the time increases

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

answer: yard ramps with a level off platform are typically 36 feet long. truck, rather than at an angle, enabling access to those pallets at the very back of the truck. if you are using your yard ramp to convert a loading dock into a drive-in door, we even at 60 inches (5 feet) high and a 30 foot ramp, the slope of the ramp will be less

step-by-step explanation: