Advertisements
Advertisements
Question
Shabnam takes 20 minutes to reach her school if she goes at a speed of 6 km/h. If she wants to reach school in 24 minutes, what should be her speed?
Advertisements
Solution
Shabnam’s speed = 6 km/h = `(6 xx 1000)/60` m/min
∴ Total distance covered by Shabnam in 20 min = `(6 xx 1000)/60 xx 20` ...[∵ Distance = Speed × Time]
= `1000/10 xx 20`
= 100 × 20
= 2000 m
If she want to reach the school in 24 min, then she should maintain the speed = `2000/24`
= `1000/12`
= `500/6` m/min
= `(500 xx 60)/(1000 xx 6)` ...`[∵ 1km = 1/1000 and 1h = 60 min]`
= 5 km/h
APPEARS IN
RELATED QUESTIONS
A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?
Which of the following quantities vary directly with each other?
(i) Number of articles (x) and their price (y).
(ii) Weight of articles (x) and their cost (y).
(iii) Distance x and time y, speed remaining the same.
(iv) Wages (y) and number of hours (x) of work.
(v) Speed (x) and time (y) (distance covered remaining the same).
(vi) Area of a land (x) and its cost (y).
The cost of 97 metre of cloth is Rs 242.50. What length of this can be purchased for Rs 302.50?
The amount of extension in an elastic spring varies directly with the weight hung on it. If a weight of 250 gm produces an extension of 3.5 cm, find the extension produced by the weight of 700 gm.
If 7 kg onions cost 140 rupees, how much must we pay for 12 kg onions?
A group of 21 students paid ₹ 840 as the entry fee for a magic show. How many students entered the magic show if the total amount paid was ₹ 1680?
Both x and y are in direct proportion, then `1/x` and `1/y` are ______.
If two quantities x and y vary directly with each other, then ______
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
Simple interest on a given sum and the rate of interest.
Kritika is following this recipe for bread. She realises her sister used most of sugar syrup for her breakfast. Kritika has only `1/6` cup of syrup, so she decides to make a small size of bread. How much of each ingredient shall she use?
Bread recipe
1 cup quick cooking oats
2 cups bread flour
`1/3` cup sugar syrup
1 tablespoon cooking oil
`1 1/3` cups water
3 tablespoons yeast
1 teaspoon salt.
