Acar and a lorry started travelling at the same time from town r to town s. when the car arrived in town s, th lorry had only travelled 0.6 of the journey. the lorry needed 45 min more to complete the journey. the lorry travelled a constant speed of 60 km/h. find the distance between the two towns.

112.5 km

Step-by-step explanation:

The lorry needed 45 minutes to travel the remaining 0.4 of the journey and was traveling at 60 km/hr.

First, convert minutes to hours:

45 min × (1 hr / 60 min) = 0.75 hr

Now use distance equation:

distance = rate × time

0.4d = 60 × 0.75

d = 112.5

The distance between the towns is 112.5 km.

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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