Maths-

General

Easy

Question

# A truck covers a particular distance in 3 hours with the speed of 60 miles per hour. If the speed is increased by 30 miles per hour, find the time taken by the truck to cover the same distance.

Hint:

**Hint:**

In a proportional relationship, the variables are related by a constant ratio(k). For example, the equation which can relate the two variables can be written in the form:

y = (constant) x or y = k x.

So, for solving these types of questions we need to create a proportional relationship between the variables. These relationships can be direct, inverse etc.

## The correct answer is: 2 hours.

### Let the speed of the truck be represented as x and the time taken by the truck be represented as y. The time taken by the truck to cover a distance will decrease if the speed of the truck increases so we can conclude that x is in inverse relationship with y. Let’s say the proportional relationship is given as

y = ……..(1)

Step 1 of 2:

It is given that the truck covers a particular distance in 3 hours with the speed of 60 miles per hour i.e. x = 60 and y = 3. Putting the values in equation (1)

3 =

k = 3 60 = 180

Step 2 of 2:

Now we are asked to find the time taken by the truck to cover the same distance if the speed is increased by 30 miles per hour i.e the speed of the truck becomes 90 miles per hour. So, x = 90 and we need to find y. Putting the values in equation (1)

y =

Now, put the value of k = 180

y =

y = 2 hours

Final Answer:

Hence, the time taken by the truck to cover the same distance if the speed is increased by 30 miles per hour is 2 hours.

Note: This question can be solved by simply using the formula of speed( speed =).

### Related Questions to study

Maths-

### If David sells 2 Liter of juice for Rs. 4, how much money will he get by selling 17 Liter of juice?

### If David sells 2 Liter of juice for Rs. 4, how much money will he get by selling 17 Liter of juice?

Maths-General

Maths-

### If 5 men or 9 women can do a piece of work in 19 days then in how many days will 3 men and 6 women do the same work?

### If 5 men or 9 women can do a piece of work in 19 days then in how many days will 3 men and 6 women do the same work?

Maths-General

Maths-

### If the wages of 12 workers for 5 days are Rs.7500, find the wages of 17 workers for 6 days.

### If the wages of 12 workers for 5 days are Rs.7500, find the wages of 17 workers for 6 days.

Maths-General

Maths-

### The cost of 16 bags of washing powder, each weighing 1.5 kg, is Rs.672. Find the cost of 18 bags of the same, each weighing 2 kg.

### The cost of 16 bags of washing powder, each weighing 1.5 kg, is Rs.672. Find the cost of 18 bags of the same, each weighing 2 kg.

Maths-General

Maths-

### 70 patients in a hospital consume 1350 litres of milk in 30 days. At the same rate, how many patients will consume 1710 litres in 28 days?

### 70 patients in a hospital consume 1350 litres of milk in 30 days. At the same rate, how many patients will consume 1710 litres in 28 days?

Maths-General

Maths-

### If 18 binders can bind 900 books in 10 days, how many binders will be required to bind 660 books in 12 days?

### If 18 binders can bind 900 books in 10 days, how many binders will be required to bind 660 books in 12 days?

Maths-General

Maths-

### A fort had enough food for 80 soldiers for 60 days. How long would the food last if 20 more soldiers join after 15 days?

### A fort had enough food for 80 soldiers for 60 days. How long would the food last if 20 more soldiers join after 15 days?

Maths-General

Maths-

### A hostel has enough food for 125 students for 16 days. How long will the food last if 75 more students join them?

### A hostel has enough food for 125 students for 16 days. How long will the food last if 75 more students join them?

Maths-General

Maths-

### 12 men can dig a pond in 8 days. How many men can dig it in 6 days?

### 12 men can dig a pond in 8 days. How many men can dig it in 6 days?

Maths-General

Maths-

### If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field?

### If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field?

Maths-General

General

### Identify the common noun among the following

### Identify the common noun among the following

GeneralGeneral

General

### Identify the definition of ‘oxymoron’.

### Identify the definition of ‘oxymoron’.

GeneralGeneral

General

### Identify the definition of ‘analogies’.

### Identify the definition of ‘analogies’.

GeneralGeneral

General

### Identify the definition of ‘supporting detail’.

### Identify the definition of ‘supporting detail’.

GeneralGeneral

General

### Identify synonym for the word ‘perfect’.

### Identify synonym for the word ‘perfect’.

GeneralGeneral