Maya, Kiara, and Diana are climbing the steps to a hilltop. Kiara covers 'S' steps, while Maya is 7 steps behind her. Also, Diana is 8 steps ahead of Kiara.
The total number of steps to reach the top is 10 less than 4 times the sum of Maya's and Diana's steps.
Find the correct algebraic equation for the total number of steps required to reach the hilltop.

(2S + 1)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4 ×× (2S) – 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4 × (2S – 1)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4 × (2S + 1) – 10

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D 4 × (2S + 1) – 10
The number of steps climbed by
Kiara = S
Maya = S – 7
Diana = S + 8

Sum of steps climbed by Maya and Diana = (S – 7) + (S + 8)
= S – 7 + S + 8
= 2S + 1

The total number of steps is 10 less than 4 times the sum of the steps climbed by Maya and Diana.

Total number of steps = 4 × (2S + 1) – 10

Thus, the total number of steps to reach the hilltop is 4 × (2S + 1) – 10

Suggest Corrections

Similar questions

Q. Meena, Beena, and Leena are climbing the step to the hilltop. Meena is at step

s

, Beena is

8

steps ahead, and Leena

7

steps behind. where are Beena and Meena

?

The total number of steps to the hilltop is

10

less than

4

times what Meena has reached. Express the total number of steps using

s

Q. Meena, Beena and Leena are climbing the steps to the hill top. Meena is at step s, Beena is 8 steps ahead and Leena 7 steps behind. Where are Beena and Meena? The total number of steps to the hill top is 10 less than 4 times what Meena has reached. Express the total number of steps using s.

Question 1(d)

Answer the following:

Meena, Beena and Leena are climbing the steps to the hill top. Meena is at step s, Beena is 8 steps ahead and Leena 7 steps behind. Where are Beena and Meena? The total number of steps to the hill top is 10 less than 4 times what Meena has reached. Express the total number of steps using s.

Three friends A, B and C went out and participated in a competition where you have to climb up the steps in the given time but none of them completed the race in the given time. If A is on step number X and B is 8 steps behind A, C is 4 steps above A. Given that A is 13 steps behind the destination, find the total number of steps in the race and the step number on which B and C are standing respectively?

Answer the following:

(a) Take Sarita’s present age to be y years

(i) What will be her age 5 years from now?

(ii) What was her age 3 years back?

(iii) Sarita’s grandfather is 6 times her age. What is the age of her grandfather?

(iv) Grandmother is 2 years younger than grandfather. What is grandmother’s age?

(v) Sarita’s father’s age is 5 years more than 3 times Sarita’s age. What is her father’s age?

(b) The length of a rectangular hall is 4 meters less than 3 times the breadth of the hall. What is the length, if the breadth is b meters?

(c) A rectangular box has height h cm. Its length is 5 times the height and breadth is 10 cm less than the length. Express the length and the breadth of the box in terms of the height.

(d) Meena, Beena and Leena are climbing the steps to the hill top. Meena is at step s, Beena is 8 steps ahead and Leena 7 steps behind. Where are Beena and Meena? The total number of steps to the hill top is 10 less than 4 times what Meena has reached. Express the total number of steps using s.

(e) A bus travels at v km per hour. It is going from Daspur to Beespur. After the bus has travelled 5 hours, Beespur is still 20 km away. What is the distance from Daspur to Beespur? Express it using v.

Join BYJU'S Learning Program