Advertisements
Advertisements
प्रश्न
A man travelled two fifth of his journey by train, one-third by bus, one-fourth by car and the remaining 3 km on foot. What is the length of his total journey?
Advertisements
उत्तर
Let his total journey length be x.
∴ Then, travelled by train = `2/5x`,
Travelled by bus = `1/3x` and travelled by car = `1/4x`
∴ Total journey travelled by train, bus and car = `2/5x + 1/3x + 1/4x`
= `(12 xx 2x + 20 xx x + 15 xx x)/60` ...[∵ LCM = of 5, 3 and 4 = 60]
= `(24x + 20x + 15x)/60`
= `(59x)/60`
∴ Remaining journey = `x/1 - (59x)/60`
= `(60x - 59x)/60`
= `x/60`
According to the question,
Remaining journey is 3 km.
∴ `x/60 = 3`
⇒ x = 3 × 60 = 180 km ...[By cross-multiplication]
Hence, the length of his total journey is 180 km.
APPEARS IN
संबंधित प्रश्न
Set up equation and solve them to find the unknown number in the following case:
Add 4 to eight times a number; you get 60.
Set up equation and solve them to find the unknown number in the following case:
When I subtracted 11 from twice a number, the result was 15.
The teacher tells the class that the highest marks obtained by a student in her class is twice the lowest marks plus 7. The highest score is 87. What is the lowest score?
In a test Abha gets twice the marks as that of Palak. Two times Abha's marks and three times Palak's marks make 280.
The equation formed is ______.
In a Mathematics quiz, 30 prizes consisting of 1st and 2nd prizes only are to be given. 1st and 2nd prizes are worth ₹ 2000 and ₹ 1000, respectively. If the total prize money is ₹ 52,000 then show that:
The total value of prizes in terms of x are ______.
Mohan is 3 years older than Sohan. The sum of their ages is 43 years.
In a school, the number of girls is 50 more than the number of boys. The total number of students is 1070. Find the number of girls.
Anamika thought of a number. She multiplied it by 2, added 5 to the product and obtained 17 as the result. What is the number she had thought of?
The sum of three consecutive integers is 5 more than the smallest of the integers. Find the integers.
What does a duck do when it flies upside down? The answer to this riddle is hidden in the equation given below:
If i + 69 = 70, then i = ? If 8u = 6u + 8, then u = ?
If 4a = –5a + 45, then a = ? if 4q + 5 = 17, then q = ?
If –5t – 60 = – 70, then t = ? If `1/4`s + 98 = 100, then s = ?
If `5/3`p + 9 = 24, then p = ______?
If 3c = c + 12, then c = ______?
If 3 (k + 1) = 24, then k = ______?
For riddle answer: substitute the number for the letter it equals
`()/1 ()/2 / ()/3 ()/4 ()/5 ()/6 ()/7 ()/8/()/4 ()/9`
