Mathew usually makes the 100 km journey to visit his family. The trip involves three separate stages:
a) A stage of 20 km that is travelled on small roads at a constant speed of 30 km/h.
b) A stage of 50 km that is travelled on the highway at a constant speed of 100 km/h.
c) A stage of 30 km that is travelled on standard roads at a constant speed of 40 km/h.
1- How long does it normally take Paul to make this journey? Last week there were roadworks on a section of the highway, and Paul was only able to travel at 60 km/h for the length of the roadworks. Paul’s journey last week took 6 minutes longer than usual.
2- What was the length of the section of roadworks?

In this exercise we have to use the knowledge of time and distance, so we have to:  

1) Total time = 1 hr 55 minutes

2) Distance = 121 km

To calculate Matthew's journey we have to use the formula of :

Are doing the calculations for each Stage, like this:

Stage A, we know that:

Stage B, we know that:  

Stage C, we know that:  

1) So using all the values calculated above, let's calculate the total value of the trip that will take place by:

2) For the second part of this question we want to calculate the total distance of travel hours so:  

See more about time and disatnce at link

1 . Total time = 1 hr 55 minutes

2 Distance = 121 km

Step-by-step explanation:

Mattew journey

stage a

Distance = 20km

Speed = 30km/h

Time = distance/speed

Time = 20/30

Time = 2/3 h

Time = 40 minutes

Stage b

Distance = 50 I'm

Speed = 100 km/h

Time = distance/speed

Time = 50/100

Time = 0.5 h

Time = 30 minutes

Stage c

Distance = 30 km

Speed = 40 km/h

Time = distance/speed

Time = 30/40

Time = 3/4 h

Time = 45 minutes.

Total time taken =( 40 + 30 + 45 ) minutes

Total time = 115 minutes

Total time = 1 hr 55 minutes

2.

Speed =60 km/h

Time= 6 minutes + x

And x = 1 hr 55 minutes

Time = 1 hr 55 minutes + 6 minutes

Time = 2 hr 1 minute

Time = 2.01666667 hr

Distance covered = speed * time

Distance = 60*2.016667

Distance = 121 km

for the first question it would be the second answer for the second question it would be the third answer and for the third question it would be the first answer

step-by-step explanation:

just do 5.2 + 2 ( 7.2) and 1/3 x 3 (.9) and youv'e got your equation. 0.9( 9/10) + 7.2 ^2 = 16.4 hope i could !

step-by-step explanation: